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Finding the Fourth Proportional to 138,915.64, 191,720.94 and 82,348.60

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Solution

The fourth proportional to 138,915.64, 191,720.94 and 82,348.60 is: 113,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915.64 : 191,720.94 = 82,348.60 : x
  2. Step 2: Convert to fraction form
    138,915.64/191,720.94 = 82,348.60/x
  3. Step 3: Cross multiply
    138,915.64x = 191,720.94 × 82,348.60
  4. Step 4: Simplify right side
    138,915.64x = 15,787,950,999.68
  5. Step 5: Solve for x
    x = 15,787,950,999.68/138,915.64
  6. Step 6: Final answer
    x = 113,651.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.